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Permutatorial optimization via the permutahedron.

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Title: Permutatorial optimization via the permutahedron.
Authors: Martínez Mori, J. Carlos1 (AUTHOR) jm2638@cornell.edu, Samaranayake, Samitha2 (AUTHOR) samitha@cornell.edu
Source: Operations Research Letters. Sep2022, Vol. 50 Issue 5, p441-445. 5p.
Subjects: Water utilities, Combinatorial optimization, Infrastructure (Economics)
Abstract: A water company decides to expand its network with a set of water lines, but it cannot build them all at once. However, it starts reaping benefits from a partial expansion. In what order should the company build the lines? We formalize a class of permutatorial problems with combinatorial/continuous subproblems capturing applications of incremental deployment. We show that, for additive/linear objective functions, efficient polyhedral methods for the subproblems extend to the permutatorial problem. Our main technical ingredient is the permutahedron. [ABSTRACT FROM AUTHOR]
Copyright of Operations Research Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 159476198
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PubType: Academic Journal
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  Data: Permutatorial optimization via the permutahedron.
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  Data: A water company decides to expand its network with a set of water lines, but it cannot build them all at once. However, it starts reaping benefits from a partial expansion. In what order should the company build the lines? We formalize a class of permutatorial problems with combinatorial/continuous subproblems capturing applications of incremental deployment. We show that, for additive/linear objective functions, efficient polyhedral methods for the subproblems extend to the permutatorial problem. Our main technical ingredient is the permutahedron. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Operations Research Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.orl.2022.06.008
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      – Code: eng
        Text: English
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        StartPage: 441
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        Type: general
      – SubjectFull: Combinatorial optimization
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      – SubjectFull: Infrastructure (Economics)
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      – TitleFull: Permutatorial optimization via the permutahedron.
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            NameFull: Martínez Mori, J. Carlos
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              M: 09
              Text: Sep2022
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              Y: 2022
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